摘要
本文在浅水长波假设条件下,从三维Navier-Siokes方程出发,推导出以平均流速和水面波高振幅为基本变量的二维浅水长波方程.在此基础上,以有限元方法对湖泊流动现象进行了数值模拟,并以图形对计算结果进行了分析。
In this paper, the shallow water equation with average velocity and water elevation as basic variables is derived from 3-D Navier-Stokes equation under certain assumptions. Based on that equation, a numerical simuation to a lake by finite element method has been made, the numerical result showed the good adaptability of this equation and the numerical scheme appeared above to the shallow water problem.
出处
《工程数学学报》
CSCD
1991年第2期149-158,共10页
Chinese Journal of Engineering Mathematics